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$f, 1/f$ integrable implies that $f^2$, $1/f^2$ integrable?

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#integration #measure-theory #borel-measures
48
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Estimate/inequality releated to the Hausdorff measure

Published on
#measure-theory #fractals #geometric-measure-theory #hausdorff-measure
37
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Convergence of third moments when second moments are uniformly bounded.

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#integration #probability-theory #measure-theory #weak-convergence
151
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Lebesgue Density $f$ with compact support, polynomial $p$ of degree $k$. Then convolution $f\star p$ is integrable and can be written as polynomial

Published on
#real-analysis #analysis #measure-theory #convolution
116
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applying Cauchy-Schwarz

Published on
#real-analysis #integration #measure-theory #cauchy-schwarz-inequality
209
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Outer measure and set with full measure

Published on
#measure-theory
88
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Term by term integration.

Published on
#measure-theory #lebesgue-integral
46
Views

Is the product operator lebesgue measurable?

Published on
#real-analysis #measure-theory #proof-verification #lebesgue-measure
462
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Finding a Hahn Decomposition involving a Dirac Measure

Published on
#measure-theory #lebesgue-measure #dirac-delta #signed-measures
167
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Equivalence of definitions of ergodic action

Published on
#group-theory #measure-theory #group-actions #ergodic-theory
77
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Question on strictly positive measure of a level set

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#real-analysis #analysis #measure-theory #lebesgue-measure
46
Views

Calculate Lebesgue and Hausdorf measure of a hexagon

Published on
#measure-theory #lebesgue-measure #hausdorff-measure
62
Views

Borel measurable function (Hausdorff dimension)

Published on
#measure-theory
145
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Example for a differentiable function that is not absolutely continuous.

Published on
#measure-theory #lebesgue-measure
601
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Stopping time with finite expectation

Published on
#probability-theory #measure-theory #stopping-times

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